Combinatorics courses can help you learn counting principles, permutations, combinations, and graph theory. You can build skills in problem-solving, algorithm design, and mathematical reasoning, which are crucial for fields like computer science and operations research. Many courses introduce tools such as generating functions and combinatorial algorithms, which are used to solve complex problems in optimization and data analysis.

Johns Hopkins University
Skills you'll gain: Game Theory, Mathematical Modeling, Political Sciences, Combinatorics, Social Sciences, Probability, Applied Mathematics, Critical Thinking, General Mathematics, Statistical Analysis
Beginner · Course · 1 - 4 Weeks

Johns Hopkins University
Skills you'll gain: Algebra, Mathematical Modeling, Graphing, Arithmetic, Advanced Mathematics, Applied Mathematics, General Mathematics, Analytical Skills, Probability & Statistics, Geometry
Beginner · Specialization · 3 - 6 Months

Johns Hopkins University
Skills you'll gain: Linear Algebra, Algebra, Applied Mathematics, Advanced Mathematics, Artificial Intelligence and Machine Learning (AI/ML), Mathematical Modeling, Engineering Analysis, Mathematical Theory & Analysis, Numerical Analysis, Geometry, Data Transformation, Applied Machine Learning, Dimensionality Reduction, Markov Model, Probability
Beginner · Specialization · 3 - 6 Months

Heriot-Watt University
Skills you'll gain: Artificial Intelligence, Graph Theory, Database Development, Database Architecture and Administration, NoSQL, Computational Logic, Java, Object Oriented Programming (OOP), Data Structures, Natural Language Processing, Computer Programming, Algorithms, Program Development, Programming Principles, Combinatorics, Theoretical Computer Science, Big Data, Reinforcement Learning, Computational Thinking, Artificial Neural Networks
Earn a degree
Degree · 1 - 4 Years

The Hong Kong University of Science and Technology
Skills you'll gain: Differential Equations, Linear Algebra, Matlab, Engineering Calculations, Engineering Analysis, Numerical Analysis, Finite Element Methods, Integral Calculus, Mathematical Software, Mechanical Engineering, Calculus, electromagnetics, Algebra, Applied Mathematics, Mathematical Modeling, Engineering, Simulation and Simulation Software, Advanced Mathematics, Geometry, Computational Thinking
Beginner · Specialization · 3 - 6 Months

Stanford University
Skills you'll gain: Data Structures, Graph Theory, Algorithms, Bioinformatics, Theoretical Computer Science, Network Model, Programming Principles, Social Network Analysis, Network Analysis, Computational Thinking, Analysis, Computer Science, Network Routing, Probability, Pseudocode, Computational Logic, Operations Research
Intermediate · Specialization · 3 - 6 Months

Arizona State University
Skills you'll gain: Experimentation, Sample Size Determination, Research Design, Regression Analysis, Statistical Analysis, Statistical Methods, Data Analysis Software, Statistical Modeling, Statistical Hypothesis Testing, Design Strategies, Sampling (Statistics), Probability & Statistics, Mathematical Modeling, Analysis, Model Evaluation, Data Transformation, Descriptive Statistics, Probability Distribution, Variance Analysis, Data Analysis
Beginner · Specialization · 3 - 6 Months

Birla Institute of Technology & Science, Pilani
Skills you'll gain: Engineering Calculations, Trigonometry, Engineering Analysis, Linear Algebra, Calculus, Differential Equations, Mathematical Modeling, Mathematical Theory & Analysis, Applied Mathematics, Algebra
Beginner · Course · 1 - 3 Months

University of Colorado Boulder
Skills you'll gain: Theoretical Computer Science, Algorithms, Graph Theory, Data Structures, Operations Research, Public Key Cryptography Standards (PKCS), Cryptography, Programming Principles, Computational Thinking, Pseudocode, Design Strategies, Computer Science, Tree Maps, Encryption, Linear Algebra, Combinatorics, Mathematical Modeling, Advanced Mathematics, IBM Cloud, Python Programming
Build toward a degree
Advanced · Specialization · 3 - 6 Months

Birla Institute of Technology & Science, Pilani
Skills you'll gain: Data Analysis, Computational Logic, Engineering Calculations, Trigonometry, Linear Algebra, Engineering Analysis, Logical Reasoning, Deductive Reasoning, Probability & Statistics, Statistical Analysis, Calculus, Analytical Skills, Bayesian Statistics, Differential Equations, Programming Principles, Statistical Inference, Theoretical Computer Science, Numerical Analysis, Descriptive Analytics, Applied Mathematics
Beginner · Specialization · 3 - 6 Months

Skills you'll gain: Computational Thinking, Algorithms, Graph Theory, Data Structures, C++ (Programming Language), C and C++, Programming Principles, Computer Programming, Object Oriented Programming (OOP), Technical Design, Theoretical Computer Science
Intermediate · Specialization · 1 - 3 Months

Princeton University
Skills you'll gain: Theoretical Computer Science, Data Structures, Computer Science, Computer Architecture, Algorithms, Programming Principles, Computational Logic, Java Programming, Computer Hardware, Scalability
Intermediate · Course · 1 - 3 Months